Question

3x^2 y-243 xy^3 factrosie fast​

Answer 1

Answer:

3xy⋅(x+9y)⋅(x−9y)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((3 • (x3)) • y) - 35xy3

STEP

2

:

Equation at the end of step

2

:

(3x3 • y) - 35xy3

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

3x3y - 243xy3 = 3xy • (x2 - 81y2)

Trying to factor as a Difference of Squares:

4.2 Factoring: x2 - 81y2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 81 is the square of 9

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (x + 9y) • (x - 9y)

Final result :

3xy • (x + 9y) • (x - 9y)

Hope your question will be solve........